25125103081 has 27 divisors (see below), whose sum is σ = 27717907791. Its totient is φ = 22764428544.

The previous prime is 25125103037. The next prime is 25125103111. The reversal of 25125103081 is 18030152152.

The square root of 25125103081 is 158509.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 24557710681 + 567392400 = 156709^2 + 23820^2 .

It is not a de Polignac number, because 25125103081 - 2²⁹ = 24588232169 is a prime.

It is a super-2 number, since 2×25125103081² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (25125103021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 183394845 + ... + 183394981.

Almost surely, 2^25125103081 is an apocalyptic number.

25125103081 is the 158509-th square number.

25125103081 is the 79255-th centered octagonal number.

It is an amenable number.

25125103081 is a deficient number, since it is larger than the sum of its proper divisors (2592804710).

25125103081 is an frugal number, since it uses more digits than its factorization.

25125103081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 28.

The spelling of 25125103081 in words is "twenty-five billion, one hundred twenty-five million, one hundred three thousand, eighty-one".